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Previous GATE
0
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1
GATE201258
Choose the most appropriate alternative from the options given below to complete the following sentence: $\textbf{If the tired soldier wanted to lie down, he _______ the mattress out on the balcony.}$ should take shall take should have taken will have taken
asked
Mar 24, 2018
in
Verbal Ability
by
Andrijana3306
(
1.4k
points)
gate2012ee
0
votes
1
answer
2
GATE2019 EE: 2
$M$ is $2 \times 2$ matrix with eigenvalues $4$ and $9.$ The eigenvalues of $M^{2}$ are $4$ and $9$ $2$ and $3$ $2$ and $3$ $16$ and $81$
asked
Feb 12, 2019
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
3
GATE2019 EE: 10
The parameter of an equivalent circuit of a threephase induction motor affected by reducing the rms value of the supply voltage at the rated frequency is rotor resistance rotor leakage reactance magnetizing reactance stator resistance
asked
Feb 12, 2019
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
4
GATE201842
As shown in the figure, $C$ is the arc from the point $(3,0)$ to the point $(0,3)$ on the circle $x^2+y^2=9$. The value of the integral $\int_C (y^2+2yx) dx +(2xy+x^2)dy$ is ________ (up to $2$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
5
GATE201841
In the circuit shown in the figure, the bipolar junction transistor (BJT) has a current gain $\beta = 100$. The baseemitter voltage drop is a constant, $V_{BE}=0.7 \: V$. The value of the Thevenin equivalent resistance $R_{Th}$ (in $\Omega$) as shown in the figure is _________ (up to $2$ decimal places)
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
6
GATE2014334
A sinusoid $x(t)$ of unknown frequency is sampled by an impulse train of period $20$ $ms$. The resulting sample train is next applied to an ideal lowpass filter with a cutoff at $25$ $Hz$. The filter output is seen to be a sinusoid of frequency $20$ $Hz$. This means that $x(t)$ has a frequency of $10$ $Hz$ $60$ $Hz$ $30$ $Hz$ $90$ $Hz$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
impulsetrain
lowpassfilter
0
votes
0
answers
7
GATE2016130
Consider the following asymptotic Bode magnitude plot (ω is in rad/s). Which one of the following transfer functions is best represented by the above Bode magnitude plot? $\frac{2s}{(1+0.5s)(1+0.25s)^{2}}$ $\frac{4(1+0.5s)}{s(1+0.25s)}$ $\frac{2s}{(1+2s)(1+4s)}$ $\frac{4s}{(1+2s)(1+4s)^{2}}$
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee1
logarithmicplot
gaink
integralandderivativefactor
0
votes
0
answers
8
GATE201320
The angle $\delta$ in the swing equation of a synchronous generator is the angle between stator voltage and current. angular displacement of the rotor with respect to the stator. angular displacement of the stator $\text{mmf}$ with respect to a synchronously rotating axis. angular displacement of an axis fixed to the rotor with respect to a synchronously rotating axis.
asked
Feb 12, 2017
in
Electrical Machines
by
piyag476
(
1.5k
points)
gate2013ee
magnetomotiveforce
cagetyperotor
0
votes
1
answer
9
GATE20142GA6
The old city of Koenigsberg, which had a German majority population before World War $2$, is now called Kaliningrad. After the events of the war, Kaliningrad is now a Russian territory and has a predominantly Russian population. It is bordered by the ... Kaliningrad, as that was its original Russian name Poland and Lithuania are on the route from Kaliningrad to the rest of Russia
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
stats
infer
0
votes
0
answers
10
GATE2019 EE: 1
The inverse Laplace transform of $H(s)=\frac{s+3}{s^{2}+2s+1}$ for $t \geq0$ $3te^{t}+e^{t}$ $3e^{t}$ $2te^{t}+e^{t}$ $4te^{t}+e^{t}$
asked
Feb 12, 2019
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
11
GATE2019 EE: 14
The open loop transfer function of a unity feedback system is given by $G(s)=\frac{\pi e^{0.25s}}{s}$ In $G(s)$ plane, the Nyquist plot of $G(s)$ passes through the negative real axis at the point $(0.5,j0)$ $(0.75,j0)$ $(1.25,j0)$ $(1.5,j0)$
asked
Feb 12, 2019
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
12
GATE2019 EE: 45
A singlephase transformer of rating $25$ kVA, supplies a $12$ kW load at power factor of $0.6$ lagging. The additional load at unity power factor in kW (round off to two decimal places) that may be added before this transformer exceeds its rated kVA is ________
asked
Feb 12, 2019
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
13
GATE201262
One of the legacies of the Roman legions was discipline. In the legions, military law prevailed and discipline was brutal. Discipline on the battlefield kept units obedient, intact and fighting, even when the odds and conditions were against them. Which one ... their seniors. The harsh discipline to which the legions were subjected to led to the odds and conditions being against them.
asked
Mar 24, 2018
in
Verbal Ability
by
Andrijana3306
(
1.4k
points)
gate2012ee
0
votes
0
answers
14
GATE201260
Which one of the following options is the closest in meaning to the word given below? $\textbf{Latitude}$ Eligibility Freedom Coercion Meticulousness
asked
Mar 24, 2018
in
Verbal Ability
by
Andrijana3306
(
1.4k
points)
gate2012ee
0
votes
0
answers
15
GATE2017144
The magnitude of magnetic flux density (B) in micro Teslas $(\mu T)$, at the centre of a loop of wire wound as a regular hexagon of side length $1 m$ carrying a current $(I=1 A)$, and placed in vacuum as shown in the figure is _________. (Give the answer up to two decimal places.)
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee1
numericalanswers
0
votes
1
answer
16
GATE20141GA1
Which of the following options is the closest in meaning to the phrase underlined in the sentence below? It is fascinating to see life forms cope with varied environmental conditions. adopt to adapt to adept in accept with
asked
Feb 12, 2017
in
Verbal Ability
by
makhdoom ghaya
(
9.3k
points)
gate2014ee1
grammar
verbal
0
votes
0
answers
17
GATE2015137
The figure shows a digital circuit constructed using negative edge triggered $JK$ flip flops. Assume a starting state of $Q_{2}Q_{1}Q_{0}=000$. This state $Q_{2}Q_{1}Q_{0}=000$ will repeat after _______ number of cycles of the clock $CLK$.
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
flipflops
latches
numericalanswers
0
votes
0
answers
18
GATE2016114
A softiron toroid is concentric with a long straight conductor carrying a direct current $I$. If the relative permeability $\mu_{r}$ of softiron is $100$, the ratio of the magnetic flux densities at two adjacent points located just inside and just outside the toroid, is ________.
asked
Jan 30, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
(
9.3k
points)
gate2016ee1
currentcarryingconductor
electromagnetism
faradayslaw
numericalanswers
0
votes
0
answers
19
GATE2019 EE: GA9
Given two sets $X=\{1,2,3\}$ and $Y=\{2,3,4\},$ we construct a set $Z$ of all possible fractions where the numerators belong to set $X$ and the denominators belong to set $Y.$ The product of elements having minimum and maximum values in the set $Z$ is _____. $1/12$ $1/8$ $1/6$ $3/8$
asked
Feb 12, 2019
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
sets
0
votes
0
answers
20
GATE201844
Let $A= \begin{bmatrix} 1 & 0 & 1 \\ 1 & 2 & 0 \\ 0 & 0 & 2 \end{bmatrix}$ and $B=A^3A^24A+5I$, where $I$ is the $3 \times 3$ identify matrix. The determinant of $B$ is _______ (up to $1$ decimal place).
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
21
GATE2014225
In a constant $V/f$ control of induction motor, the ratio $V/f$ is maintained constant from $0$ to base frequency, where $V$ is the voltage applied to the motor at fundamental frequency $f$. Which of the following statements relating to low ... from its rated value. At low frequency, the motor saturates. At low frequency, the stator flux remains unchanged at its rated value.
asked
Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
frequencydrives
frequencyharmonics
0
votes
0
answers
22
GATE201518
In the following chopper, the duty ratio of switch $S$ is $0.4$. If the inductor and capacitor are sufficiently large to ensure continuous inductor current and ripple free capacitor voltage, the charging current (in Ampere) of the $5 V$ battery, under steadystate, is _______.
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
chopper
steadystate
numericalanswers
0
votes
0
answers
23
GATE2016236
In the balanced $3$phase, $50$ Hz, circuit shown below, the value of inductance $(L)$ is $10$ mH. The value of the capacitance $(C)$ for which all the line currents are zero, in millifarads, is ___________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
balancedsystem
line
currents
numericalanswers
0
votes
0
answers
24
GATE2019 EE: GA6
How many integers are there between $100$ and $1000$ all of whose digits are even? $60$ $80$ $100$ $90$
asked
Feb 12, 2019
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
arithmeticseries
0
votes
0
answers
25
GATE2019 EE: GA7
The ration of the number of boys and girls who participated in an examination is $4:3.$ The total percentage of candidates who passed the examination is $80$ and the percentage of girls who passed the exam is $90.$ The percentage of boys who passed is _______. $55.50$ $72.50$ $80.50$ $90.00$
asked
Feb 12, 2019
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
ratioproportion
percentage
0
votes
0
answers
26
GATE2019 EE: 6
A system transfer function is $H(s)= \frac{a_{1}s^{2}+b_{1}s+c_{1}}{a_{2}s^{2}+b_{2}s+c_{2}}.$ If $a_{1}=b_{1}=0,$ and all the other coefficient are positive, the transfer function represents a low pass filter high pass filter band pass filter notch filter
asked
Feb 12, 2019
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
27
GATE20134
The impulse response a the system is $h(t)=t\:u(t).$ For an input $u(t1)$, the output is $\frac{t^2}{2}u(t)$ $\frac{t(t1)}{2}u(t1)$ $\frac{(t1)^2}{2}u(t1)$ $\frac{t^21}{2}u(t1)$
asked
Feb 12, 2017
in
Signals and Systems
by
piyag476
(
1.5k
points)
gate2013ee
fouriertransform
samplingtheorem
0
votes
0
answers
28
GATE2019 EE: 49
A threephase $50$ Hz, $400$ kV transmission line is $300$ km long. The line inductance is $1$ mH/km per phase, and the capacitance is $0.01 \: \mu F/km$ per phase. The line is under open circuit condition at the receiving end and energized with $400$ kV at the sending end, the receiving end line voltage in kV (round off to two decimal places) will be _________
asked
Feb 12, 2019
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
29
GATE201264
There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number of weighings required to identify the heavier bag is $2$ $3$ $4$ $8$
asked
Mar 24, 2018
in
Numerical Ability
by
Andrijana3306
(
1.4k
points)
gate2012ee
0
votes
0
answers
30
GATE2014250
The $SOP$ (sum of products) form of a Boolean function is $\sum (0,1,3,7,11)$, where inputs are $A$,$B$,$C$,$D$ ($A$ is $MSB$, and $D$ is $LSB$). The equivalent minimized expression of the function is $(\bar{B}+C)(\bar{A}+C)(\bar{A}+\bar{B})(\bar{C}+D)$ ... $(\bar{B}+C)(A+\bar{B})(\bar{A}+\bar{B})(\bar{C}+D)$
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
booleanfunction
leastsignificantbit
0
votes
0
answers
31
GATE2014217
The closed loop transfer function of a system is $T(s)=\frac{4}{s^2+0.4S+4}$ The steady state error due to unit step input is __________.
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
unitstepfunction
closedloopsystem
numericalanswers
0
votes
0
answers
32
GATE201415
Let $S$ be the set of points in the complex plane corresponding to the unit circle. $(\text{That is}, S = \{z :\:\: \mid z \mid =1\}).$ Consider the function $f(z)=zz^{\ast}$ where $z^{\ast}$ denotes the complex conjugate of $z$. The ... of the following in the complex plane unit circle horizontal axis line segment from origin to $(1, 0)$ the point $(1, 0)$ the entire horizontal axis
asked
Feb 12, 2017
in
Complex Variables
by
makhdoom ghaya
(
9.3k
points)
gate2014ee1
complexconjugate
complexvariables
0
votes
1
answer
33
GATE20162GA2
Identify the correct spelling out of the given options: Managable Manageable Mangaeble Managible
asked
Jan 30, 2017
in
Verbal Ability
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
vocabulary
grammar
0
votes
1
answer
34
GATE2019 EE: GA5
Newspapers are a constant source of delight and recreation for me. The ________ trouble is that I read _______ many of them. even, quite even, too only, quite only, too
asked
Feb 12, 2019
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
mostappropriateword
0
votes
0
answers
35
GATE2019 EE: 3
The partial differential equation $\frac{\partial^{2}u}{\partial t^{2}} C^{2} \bigg( \frac{\partial^{2}u}{\partial x^{2}}+\frac{\partial^{2}u}{\partial y^{2}} \bigg )=0;$ where $c \neq 0$ is known as heat equation wave equation Poisson’s equation Laplace equation
asked
Feb 12, 2019
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
36
GATE2019 EE: 28
A periodic function $f(t)$, with a period of $2 \pi$, is represented as its Fourier series, $f(t) = a_0 + \sum_{n=1}^{\infty }a_n \cos nt + \sum_{n=1}^{\infty} b_n \sin nt.$ ... $a_1 = \frac{A}{2}; \: b_1 = 0$ $a_1 = 0; \: b_1 = \frac{A}{\pi}$ $a_1 = 0;b_1 = \frac{A}{2}$
asked
Feb 12, 2019
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
37
GATE2019 EE: 44
The magnetic circuit shown below has uniform crosssectional area and air gap of $0.2$ cm. The mean path length of the core is $40$ cm. Assume that leakage and fringing fluxes are negligible. When the core relative permeability is assumed to be infinite, the ... to be $1000$ (linear), the flux density in tesla (round off to three decimal places) calculated in the air gap is _______
asked
Feb 12, 2019
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
38
GATE2019 EE: 48
A $220$ V(line), threephase, Yconnected, synchronous motor has a synchronous impedance of $(0.25+j2.5) \: \Omega/\text{phase}$. The motor draws the rated current of $10$ A at $0.8$ pf leading. The rms value of linetoline internal voltage in volts (round off to two decimal places) is _________
asked
Feb 12, 2019
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
39
GATE20121
Two independent random variables $X$ and $Y$ are uniformly distributed in he interval $[1,1]$. The probability that $\text{max}[X,Y]$ is less than $1/2$ is $3/4$ $9/16$ $1/4$ $2/3$
asked
Mar 24, 2018
in
new
by
Andrijana3306
(
1.4k
points)
gate2012ee
0
votes
0
answers
40
GATE201340
The signal flow graph for a system is given below. The transfer function $\dfrac{Y(s)}{U(s)}$ for this system is $\dfrac{s+1}{5s^2+6s+2}$ $\dfrac{s+1}{s^2+6s+2}$ $\dfrac{s+1}{s^2+4s+2}$ $\dfrac{1}{5s^2+6s+2}$
asked
Feb 12, 2017
in
Control Systems
by
piyag476
(
1.5k
points)
gate2013ee
controllers
stability
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